Answers created by Cesareo R.
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Find the value of #n# for which the equation #(n1)^(2)u_{x x}y^(2n)u _{yy}=ny^(2n1)u_y# is parabolic or hyperbolic?

Find the general integral of the equation (xy)p+(yxz)q=z and particular solution through the circle z=1,x^2+y^2=1.?

Solve the following differential equations:
#2x^(2)y (d^(2)y)/(dx^(2))+4y^(2)=x^(2)(dy/dx)^(2)+2xy(dy/dx)#?

Do the functions #y_1(t)=√t # and #y_2(t)=1/t# form a fundamental set of solutions of the equation #2t^(2)y''+3ty'y=0#,on interval #0<t<∞# ? Justify your answer.

Given that #f(x)=x1# and #(g\circ f)(x)=3x^2 + 2#, find the function of #g# in similar form? Thank you

Compute #i+i^2+i^3+\cdots+i^{258}+i^{259}#. ?

If #2costheta=x+1/x# then prove that the value of the #x^n+1/(x^n), ninN# is #2cosntheta#?

How can i solve the series #\sum_{n=0}^{\infty} \frac{n^3}{(n+1)!} # ?

Limit problem ?

How to solve the simultaneous equations ∣z + 1∣ = ∣z − 1∣, ∣z + 2∣ = ∣z − 3∣?

Can you plz help me in solving this question?

How to solve this question?

Need help with Lagrange multiplier question?

#y=3+x+e^x# ....find the inverse of y?

Please help?

How do you convert from explicit to recursive? Here is the explicit formula that I have: an= 3+10n. Thank you

What is the solution to the differential equation dy/dx= xy^2 ?

Solve the following differential equations:
(i)#(2x+y+3)dy/dx=x+2y+1# and
(ii)#[x^(2)+1]dy/dx+2xy=4x^(2)#.?

Solve
#y'+ty=t^3y^3#?

Solve it please. "?"

How you solve this? #x^2y'+x^2y^23xy+3=0# with solution #y_1=3/x#

How do I find the sum of a Taylor series #sum_(n=0)^oo((1)^n(x2)^n)/(2^(n+1))#?

If #{sqrt(3)+sqrt(2)}^x + {sqrt(3)sqrt(2)}^x =10# then find the value of #x# ?

Identify an axis of revolution and generating conic of the surface #4x^2+25y^2+4z^2=100#. does this conic also generate #x^2/25+y^2/4+z^2/25=1#?

What is the equation of those tangent planes to the sphere #x^2+y^2+z^2+2x4y+6z7=0# which intersect the line #6x3y23=0#, #3z+2=0#?

What is the range of the function #y=sqrt(1cosxsqrt(1cosx(sqrt(1cosx ......oo# ?

Kindly solve this? which option is correct?

Sin(x+y)= 1,
cos (xy)= #sqrt((3/"2")#
find value of x and y?

What is the maximum value of #Q(p,q,r)=2pq+2pr+2qr# subject to #p+q+r=1#?

What is the general solution of the differential equation #dy/dx = (x+2y3)/(2x+y3)#?

What is the length PC? How did you solve this?

Laplace Transforms
y'+5.2y=19.4sin(2t)
By:y(0)=0 y=?

What is the general equation of #dy/dx =e^(x+y)#?

What is/are the maximum number of possible real roots of the equation?
a) 3
b) 4
c) 5
d) 0

A 5.0 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.0 m/s, what is the force exerted by the rope on the bucket of water?

How do you solve #3^x= 3x+5#?

How do you integrate #int 1 / (sqrt(x+1)  sqrt(x)) #?

Help please?

How to find these type of question easily, without using Lhopitals rule?

How to do 69th question?

If the roots of equation #x^2 + qx + p=0# are each 1 less than the roots of the equation #x^2 + px + q = 0# then #(p+q)# is equal to?

Find the limit?

Could someone help me evaluate this another limit?

Can you help with velocity of a boat please.?

Immediate. Immediate. Please help with limit problem?

Mechanics question help ?

Lim. f(x)=(x^2x)/(2x^2 +5x7)
x → 1
Someone can help me ?

How do you find an equation for this function that is not recursive?

How to do 187th question?

How to do 189th question?

Mechanics particle and tension help please?

What length would the object have to slide along the ramp? (question 2)

Solving this electronic problem with impedance ?

How did he solve this integral?

Arc Length Problem?

Calculus Integration Help?!

If z4<z2 then find its solution ?

How can we calculate?
(1x) + (1x)^2 + (1x)^3 + (1x)^4 + (1x)^5.... + (1x)^n

Can anyone help me with this vector question?

Limit (n~■)[2n!÷n!n^n]^(1÷n) here■is infinitive?

A solid sphere is rotating about an axis passing through its center of mass with angular velocity #omega#. The sphere itself is in a circular motion about the axis PQ with an angular velocity #omega'#. Calculate its moment of inertia about PQ?

Find the limit?

When will the slope field for differential equation (2x)/(4yxy) have vertical segments?

How do you plot the slope field for the differential equation dy/dx=xy?

#\int_0^\inftye^(ax)\cos(bx)dx#?

Can anyone explain me clearly about the energy and it's changes in Simple Pendulum? Plz!

How to compare the relative change in momentum of two blocks attached by a pulley?

#f=(x2014)^2014+3x+12# The remainder for #f:(x1)# is?

Answer Part (b)?

If P : x+ay3z+3=0 and Q : x+2ybz+c=0 are two parallel planes such that sum of intercepts made by Q on the axes is 14 then value of (a + b + c) will be=?

I really need help. It's about number theory. Would yo be so kind help me?

For the sequence defined by #a_"1"=2, a_"n+1"=1/(3a_"n")#, how to show that it is bounded below by 0?

How will you solve:#(dy)/(dx)=e^(xy)[e^xe^y]#?

How do you solve #abs(5x+2)>=abs(3x4)#?

A)Detemine the horizontal force (F) required to move the plate across the factory floor.?
b) Determine the mass of the plate?

How do you solve the inequality #4 < 2 + x <1#?

If #z = Max{z2,z+2}#, then?

Solve: Lim #x>1# #(sqrt(x)sqrt(2x^2))/(2xsqrt(2+2x^2)# ?

How to solve this inverse function?

X+y=50 which x and y are two positive numbers (a)for which numbers x is the product of the two numbers an increasing function of x (b)what is the maximum value of their product?

A simply supported beam in figure 2 is subject to two concentrated loads.Find support reactions Ra and Rb.?

Can anyone help me with this limit problem?

Find the general solution ?

The pulley shown in the figure has a moment of inertia I about its axis and mass m. Find the time period of vertical oscillation of its center of mass. The spring has spring constant K and the string does not slip on the pulley?

Please Help?

A simple pendulum having a bob of mass m undergoes small oscillations with amplitude #theta_0#. Find the tension in the string as a function of the angle made by the string with the vertical?

Can I get some help solving this problem? Thanks!

Find the values?

I need help in a simple Vectors question?

3 particles start from origin with velocity #u_1,u_2 and u_3#.They are moving with constant velocities.Find the relation between #u_1,u_2 and u_3# so that all 3 particles lie on the same plane?

Is the sequence divergent or convergent?

Does the series # sum_{n=1}^oo (5n)^(3n)/(5^n+3)^n# converge or diverge?

A uniform slender rod of mass m and length L is released from rest, with its lower end touching a frictionless floor. At the initial moment, the rod is inclined at an angle #theta = 30^0# with the vertical?

How to prove this?
Let z = a + ib be a complex number. Show that a square root of z is given by the expression
#w=sqrt((z+a)/2)+iσ*sqrt((za)/2)#
where σ = 1 if b ≥ 0 and σ = −1 if b < 0. Do this by verifying that #w^2=z# ?

If #f(x)=x+1# and #(f@g)(x)=x^2+3x+2#, which of the following is g(x)?

How to solve :
x=ln x ?

How i can factor #8*(a^(6n))+27*(b^(3m))# ?

If S be the sum,P be the product and R the sum of reciprocals of n terms in a G.P,prove that #P^2=(frac{S}R)^n#?

How do i find the limit and the convergence area for #sum(x/(1x))^n# for #x in RR // {1}# ?

x^2  2 < 1
Please can anyone help?
How to solve this absolute value problem?

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